Pinching for holomorphic curves in a complex Grassmann manifold G(2,n;C)

Jun Wang, Jie Fei, Xiaowei Xu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this paper, we establish a Simons' inequality about holomorphic curves immersed into a complex Grassmann manifold G(k,n;C), and we characterize all the pinched holomorphic curves in G(2,n;C) when the second fundamental form satisfies a pinching condition.

Original languageEnglish
Article number101840
JournalDifferential Geometry and its Application
Publication statusPublished - Feb 2022


  • Complex Grassmann manifolds
  • Holomorphic curves
  • Pinching
  • Second fundamental form

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